137745765 has 24 divisors (see below), whose sum is σ = 247604448. Its totient is φ = 73463760.

The previous prime is 137745761. The next prime is 137745791. The reversal of 137745765 is 567547731.

137745765 is a `hidden beast` number, since 1 + 3 + 7 + 74 + 576 + 5 = 666.

137745765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137745765 - 2² = 137745761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 137745765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137745761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55471 + ... + 57900.

It is an arithmetic number, because the mean of its divisors is an integer number (10316852).

Almost surely, 2^137745765 is an apocalyptic number.

137745765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137745765 is a deficient number, since it is larger than the sum of its proper divisors (109858683).

137745765 is an equidigital number, since it uses as much as digits as its factorization.

137745765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113391 (or 113379 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 137745765 is about 11736.5141758531. The cubic root of 137745765 is about 516.4473878137.

The spelling of 137745765 in words is "one hundred thirty-seven million, seven hundred forty-five thousand, seven hundred sixty-five".